168152180400 has 180 divisors, whose sum is σ = 584068438408. Its totient is φ = 44799575040.

The previous prime is 168152180347. The next prime is 168152180431. The reversal of 168152180400 is 4081251861.

168152180400 is a `hidden beast` number, since 1 + 68 + 15 + 2 + 180 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4022004 + ... + 4063596.

Almost surely, 2^168152180400 is an apocalyptic number.

168152180400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168152180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292034219204).

168152180400 is an abundant number, since it is smaller than the sum of its proper divisors (415916258008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168152180400 is a wasteful number, since it uses less digits than its factorization.

168152180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42740 (or 42726 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 168152180400 in words is "one hundred sixty-eight billion, one hundred fifty-two million, one hundred eighty thousand, four hundred".